Operator Theory Seminar

November 5, 2019 - 1:30pm to 2:30pm
309 VAN

Professor Gabriel Picioroaga; Department of Mathematical Sciences; University of South Dakota

“Obstructions to Frame Vectors and Group Representations”

Abstract: In this talk I will present some results concerning existence of frame vectors associated with a representation of a group on a Hilbert space. The main results identify an obstruction for the existence of a frame vector whenever the group action has an eigenvector. This situation is “opposite” to the case of the Baumslag-Solitar group, or Cuntz algebra representations when Parseval frames can be constructed. This is joint work with Catalin Georgescu.